(2sqrt(4x-7))-(sqrt(5x+6))=20

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Solution for (2sqrt(4x-7))-(sqrt(5x+6))=20 equation:


Simplifying
(2sqrt(4x + -7)) + -1(sqrt(5x + 6)) = 20

Reorder the terms:
(2qrst(-7 + 4x)) + -1(sqrt(5x + 6)) = 20
((-7 * 2qrst + 4x * 2qrst)) + -1(sqrt(5x + 6)) = 20
((-14qrst + 8qrstx)) + -1(sqrt(5x + 6)) = 20
(-14qrst + 8qrstx) + -1(sqrt(5x + 6)) = 20

Remove parenthesis around (-14qrst + 8qrstx)
-14qrst + 8qrstx + -1(sqrt(5x + 6)) = 20

Reorder the terms:
-14qrst + 8qrstx + -1(qrst(6 + 5x)) = 20
-14qrst + 8qrstx + -1((6 * qrst + 5x * qrst)) = 20
-14qrst + 8qrstx + -1((6qrst + 5qrstx)) = 20
-14qrst + 8qrstx + (6qrst * -1 + 5qrstx * -1) = 20
-14qrst + 8qrstx + (-6qrst + -5qrstx) = 20

Reorder the terms:
-14qrst + -6qrst + 8qrstx + -5qrstx = 20

Combine like terms: -14qrst + -6qrst = -20qrst
-20qrst + 8qrstx + -5qrstx = 20

Combine like terms: 8qrstx + -5qrstx = 3qrstx
-20qrst + 3qrstx = 20

Solving
-20qrst + 3qrstx = 20

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Reorder the terms:
-20 + -20qrst + 3qrstx = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + -20qrst + 3qrstx = 0

The solution to this equation could not be determined.

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